{
  "id": "2008.09493",
  "version": "v1",
  "published": "2020-08-21T14:16:29.000Z",
  "updated": "2020-08-21T14:16:29.000Z",
  "title": "Structure of Semi-Continuous Q-Tame Persistence Modules",
  "authors": [
    "Maximilian Schmahl"
  ],
  "comment": "11 pages",
  "categories": [
    "math.RT",
    "math.AT"
  ],
  "abstract": "Using a result by Chazal, Crawley-Boevey and de Silva concerning radicals of persistence modules, we show that every lower semi-continuous q-tame persistence module can be decomposed as a direct sum of interval modules and that every upper semi-continuous q-tame persistence module can be decomposed as a product of interval modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-21T14:16:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G20",
      "55N31"
    ],
    "keywords": [
      "upper semi-continuous q-tame persistence module",
      "lower semi-continuous q-tame persistence module",
      "interval modules",
      "silva concerning radicals",
      "direct sum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}